What is the overall order of the following reaction, given the rate law? NO(g) + O3(g) → NO2(3) + O2(g) Rate = k[NO][O3] %3D 15 order 3rd order 1st order Oth order O 2nd order
What is the overall order of the following reaction, given the rate law? NO(g) + O3(g) → NO2(3) + O2(g) Rate = k[NO][O3] %3D 15 order 3rd order 1st order Oth order O 2nd order
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Would this be zero order ?
![### Understanding Reaction Orders
#### Problem Statement:
What is the overall order of the following reaction, given the rate law?
\[ \text{NO} (g) + \text{O}_3 (g) \rightarrow \text{NO}_2 (g) + \text{O}_2 (g) \]
Rate = \( k[\text{NO}][\text{O}_3] \)
#### Options:
1. \(\frac{1}{2}\) order
2. 3rd order
3. 1st order
4. 0th order
5. 2nd order
### Explanation:
To determine the overall order of the reaction, we need to analyze the given rate law equation.
1. **Rate Law**: The rate law is given by:
\[ \text{Rate} = k[\text{NO}][\text{O}_3] \]
2. **Identifying Orders**:
- The order with respect to \(\text{NO}\) is 1 because the exponent of \([\text{NO}]\) is 1.
- The order with respect to \(\text{O}_3\) is also 1 because the exponent of \([\text{O}_3]\) is 1.
3. **Overall Order**:
- To find the overall order of the reaction, we sum the individual orders:
\[ 1 (\text{NO}) + 1 (\text{O}_3) = 2 \]
Therefore, the overall order of the reaction is **2nd order**.
#### Correct Answer:
- 2nd order](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F560885b1-95a6-46a1-8479-9132da42c8bd%2Ff09aee28-668d-408c-9e9f-0b05e27026e4%2Fap62i7e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Reaction Orders
#### Problem Statement:
What is the overall order of the following reaction, given the rate law?
\[ \text{NO} (g) + \text{O}_3 (g) \rightarrow \text{NO}_2 (g) + \text{O}_2 (g) \]
Rate = \( k[\text{NO}][\text{O}_3] \)
#### Options:
1. \(\frac{1}{2}\) order
2. 3rd order
3. 1st order
4. 0th order
5. 2nd order
### Explanation:
To determine the overall order of the reaction, we need to analyze the given rate law equation.
1. **Rate Law**: The rate law is given by:
\[ \text{Rate} = k[\text{NO}][\text{O}_3] \]
2. **Identifying Orders**:
- The order with respect to \(\text{NO}\) is 1 because the exponent of \([\text{NO}]\) is 1.
- The order with respect to \(\text{O}_3\) is also 1 because the exponent of \([\text{O}_3]\) is 1.
3. **Overall Order**:
- To find the overall order of the reaction, we sum the individual orders:
\[ 1 (\text{NO}) + 1 (\text{O}_3) = 2 \]
Therefore, the overall order of the reaction is **2nd order**.
#### Correct Answer:
- 2nd order
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